Home
Class 10
MATHS
In a three-digit number, when the tens a...

In a three-digit number, when the tens and the hundreds digit are interchanged the new number is 54 more than three times the original number. If 198 is added three times the original number. If 198 is added to the number, the digits are reversed. The tests difit exceeds the hundreds digit by twice as that of the tens digit exceeds the unit digit. Find the originall number.

Promotional Banner

Topper's Solved these Questions

  • ALGEBRA

    PREMIERS PUBLISHERS|Exercise SOLUTION THINKING CORNER|6 Videos

  • ALGEBRA

    PREMIERS PUBLISHERS|Exercise SOLUTION THINKING CORNER (Say True or False:)|1 Videos

  • ALGEBRA

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 3.19 (Multiple Choice Questions)|20 Videos

  • CO-ORDINATE GEOMETRY

    PREMIERS PUBLISHERS|Exercise Other Important Objective|25 Videos

Similar Questions

Explore conceptually related problems

The sum of the digits of a three-digit number is 11. If the digits are revesed, the new number is 46 more than five times the former number. If the hundreds digit plus twice the tens digit is equal to the units digits, then find the original three digit number?

The number of five digit numbers in which all digits are even, is :

The number of five digit numbers in which all digits are even, is?

PREMIERS PUBLISHERS-ALGEBRA-SOLUTION TO UNIT EXERCISE
  1. Solve (1)/(3)(x+y-5)=y-z=2x-11=9-(x+2z).

    Text Solution

    |

  2. One hundred and fifty students are admitted to a school. They are dist...

    Text Solution

    |

  3. In a three-digit number, when the tens and the hundreds digit are inte...

    Text Solution

    |

  4. Find the least number common multiple of xy(k^(2)+1)+k(x^(2)+y^(2)) an...

    Text Solution

    |

  5. Find the GCD of following by division algorithm 2x^(4)+13x^(3)+27x^(2)...

    Text Solution

    |

  6. Reduce the given Rational expression to its lowest form (x^(3a)-8)/(...

    Text Solution

    |

  7. Reduce the given Rational expression to its lowest form (10x^(3)-25x...

    Text Solution

    |

  8. Simplify ((1)/(p)+(1)/(q+r))/((1)/(p)-(1)/(q+r))times[1+(q^(2)+r^(2)-p...

    Text Solution

    |

  9. Arul, Ravi, and Ram working together can clean a store in 6 hours. Wor...

    Text Solution

    |

  10. Find the square root of 289x^(4)-612x^(3)+970x^(2)-684x+361.

    Text Solution

    |

  11. Solve sqrt(y+1)+sqrt(2y-5)=3.

    Text Solution

    |

  12. A boat takes 1.6 hours longer to go 36kms up a river than down the riv...

    Text Solution

    |

  13. Is it possible to design a rectangular park of perimeter 320m and area...

    Text Solution

    |

  14. At t minutes past 2pm, the time needed to 3 pm is 3minutes less than (...

    Text Solution

    |

  15. The number of seats in a row is equal to the total number of rows in a...

    Text Solution

    |

  16. If a and b are the roots of the polynomial f(x)=x^(2)-2x+3, find the...

    Text Solution

    |

  17. If a and b are the roots of the polynomial f(x)=x^(2)-2x+3, find the...

    Text Solution

    |

  18. If -4 is a root of the equation x^(2)+px-4=0 and the equation x^(2)+px...

    Text Solution

    |

  19. Two farmers and Ravi cultivates three varieties of grains namely rice...

    Text Solution

    |

  20. Two farmers and Ravi cultivates three varieties of grains namely rice...

    Text Solution

    |